Show the Proof

import proveit
# Automation is not needed when only showing a stored proof:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%show_proof

	step type	requirements	statement
0	instantiation	1, 2, 3	⊢
	: , :
1	reference	17	⊢
2	instantiation	17, 23, 4	⊢
	: , :
3	instantiation	5, 6, 7	⊢
	: , : , :
4	instantiation	47, 30, 8	⊢
	: , : , :
5	theorem		⊢
	proveit.logic.equality.sub_right_side_into
6	instantiation	17, 9, 14	⊢
	: , :
7	instantiation	10, 11, 39, 49, 12, 13, 18, 19, 14	⊢
	: , : , : , : , : , :
8	instantiation	47, 15, 16	⊢
	: , : , :
9	instantiation	17, 18, 19	⊢
	: , :
10	theorem		⊢
	proveit.numbers.multiplication.disassociation
11	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
12	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
13	instantiation	20	⊢
	: , :
14	instantiation	47, 30, 21	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
16	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
17	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
18	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
19	instantiation	22, 23, 24	⊢
	: , :
20	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
21	instantiation	25, 26, 27, 28	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
23	instantiation	47, 30, 29	⊢
	: , : , :
24	instantiation	47, 30, 31	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
27	instantiation	47, 34, 32	⊢
	: , : , :
28	axiom		⊢
	proveit.physics.quantum.QPE._phase_in_interval
29	instantiation	47, 34, 33	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
31	instantiation	47, 34, 35	⊢
	: , : , :
32	instantiation	47, 37, 46	⊢
	: , : , :
33	instantiation	47, 37, 36	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
35	instantiation	47, 37, 38	⊢
	: , : , :
36	instantiation	47, 48, 39	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
38	instantiation	40, 41, 42	⊢
	: , :
39	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
40	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
41	instantiation	47, 43, 44	⊢
	: , : , :
42	instantiation	45, 46	⊢
	:
43	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
44	assumption		⊢
45	theorem		⊢
	proveit.numbers.negation.int_closure
46	instantiation	47, 48, 49	⊢
	: , : , :
47	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
48	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
49	theorem		⊢
	proveit.numbers.numerals.decimals.nat1